Anomalous diffusion on percolating clusters
Abstract
The mean square distance reached after t randomwalk steps on a percolating cluster is shown to behave as t^{2(2+θ)} (instead of t) for short times (for which the cluster is seen to be selfsimilar). The exponent θ is related to that describing the dc conductivity near percolation. Averaging over all clusters yields the ac conductivity and dielectric constant near percolation in the highfrequency limit, when the polarization of the medium is unimportant.
 Publication:

Physical Review Letters
 Pub Date:
 January 1983
 DOI:
 10.1103/PhysRevLett.50.77
 Bibcode:
 1983PhRvL..50...77G
 Keywords:

 71.30.+h;
 05.50.+q;
 Metalinsulator transitions and other electronic transitions;
 Lattice theory and statistics